1.58 ordinal quantity 
Quantity, defined by a conventional measurement procedure, for which a total ordering relation can be established, according to magnitude, with other quantities of the same kind of quantity, but for which no algebraic operations among those quantities exist. 
 Example 1: Rockwell C hardness. 
Example 2: Octane number for petroleum fuel. 
Example 3: Earthquake strength on the Richter scale. 
Example 4: Subjective level of abdominal pain on a scale from zero to five. 
Note 1: Ordinal quantities can enter into empirical relations only and have neither measurement units nor quantity dimensions. Differences and ratios of ordinal quantities have no physical meaning. 
Note 2: Ordinal quantities are arranged according to ordinal quantity-value scales [VIM 1.28]. 
Source: [VIM 1.26]. 
1.58 ordinal quantity 
Quantity, defined by a conventional measurement procedure, for which a total ordering relation can be established, according to magnitude, with other quantities of the same kind of quantity, but for which no algebraic operations among those quantities exist. 
 Example 1: Rockwell C hardness. 
Example 2: Octane number for petroleum fuel. 
Example 3: Earthquake strength on the Richter scale. 
Example 4: Subjective level of abdominal pain on a scale from zero to five. 
Note 1: Ordinal quantities can enter into empirical relations only and have neither measurement units nor quantity dimensions. Differences and ratios of ordinal quantities have no physical meaning. 
Note 2: Ordinal quantities are arranged according to ordinal quantity-value scales [VIM 1.28]. 
Source: [VIM 1.26]. 

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